A ticket costs £3.50. Mia buys 4 tickets. Work out the total cost.
(Total for Question 2 is 1 mark)
3
Write 3/4 as a decimal.
(Total for Question 3 is 1 mark)
4
What is 15% of 240?
(Total for Question 4 is 1 mark)
5
A shelf is 1.8 metres long. Convert this length to centimetres.
(Total for Question 5 is 1 mark)
6
There are 28 students. Three quarters of them go on a trip. How many go on the trip?
(Total for Question 6 is 1 mark)
7
Work out 7 x 8 + 6.
(Total for Question 7 is 1 mark)
8
A rectangle has sides 9 cm and 4 cm. Calculate its perimeter.
(Total for Question 8 is 1 mark)
9
A bag contains 5 red, 3 blue and 2 green counters. If one counter is taken at random, what is the probability it is blue? Give your answer as a fraction in lowest terms.
(Total for Question 9 is 1 mark)
10
Round 6.347 to one decimal place.
(Total for Question 10 is 1 mark)
11
Subtract 3.75 from 10. Give your answer as a decimal.
(Total for Question 11 is 1 mark)
12
A toy normally costs £18. It is reduced by 25%. How much does it cost now?
(Total for Question 12 is 1 mark)
13
James drives 150 km in 2 hours. At that speed how far does he drive in 5 hours?
(Total for Question 13 is 2 marks)
14
A recipe for 6 muffins uses 220 g of flour. How much flour is needed for 10 muffins?
(Total for Question 14 is 2 marks)
15
Ethan buys 3 shirts at £12 each and a pair of shoes at £28. He pays with a £100 note. How much change should he receive?
(Total for Question 15 is 2 marks)
16
A cyclist travelled 9 km in 30 minutes. At that pace how many minutes to travel 15 km?
(Total for Question 16 is 2 marks)
17
Work out 7/8 + 1/4. Give your answer in a single fraction in lowest terms.
(Total for Question 17 is 2 marks)
18
A shop sells pencils in bundles of 12. If Hannah needs 95 pencils, how many bundles should she buy? Show working.
(Total for Question 18 is 2 marks)
19
A rectangle has area 96 cm2. Its width is 8 cm. Work out its length.
(Total for Question 19 is 3 marks)
20
A car journey of 200 km uses 16 litres of petrol. How many litres are needed for a 350 km journey at the same rate? Give your answer to 2 decimal places.
(Total for Question 20 is 3 marks)
Mark scheme · EP.M145 CEM Style Numerical Reasoning Paper 3
Question 1
B1 144 cao
Answer: 144
Question 2
B1 £14.00 cao
Answer: £14.00
Question 3
B1 0.75 cao
Answer: 0.75
Question 4
B1 36 cao
Answer: 36
Question 5
B1 180 cm cao
Answer: 180 cm
Question 6
B1 21 cao
Answer: 21
Question 7
B1 62 cao
Answer: 62
Question 8
B1 26 cm cao
Answer: 26 cm
Question 9
B1 3/10 cao
Answer: 3/10
Question 10
B1 6.3 cao
Answer: 6.3
Question 11
B1 6.25 cao
Answer: 6.25
Question 12
B1 £13.50 cao
Answer: £13.50
Question 13
M1 Find speed 75 km/h or equivalent method
A1 375 km cao
Answer: 375 km
Question 14
M1 Use ratio 220/6 x 10 or equivalent method
A1 366.67 g or 367 g to nearest g ft from method
Answer: Approximately 366.67 g (about 367 g)
Question 15
M1 Calculate total cost 3 x 12 + 28 = 36 + 28 = 64 seen
A1 £36 change cao
Answer: £36
Question 16
M1 Find rate 3 km per 10 minutes or 0.3 km/min seen
A1 50 minutes cao
Answer: 50 minutes
Question 17
M1 Convert to common denominator 7/8 + 2/8 (= 9/8) or equivalent
A1 9/8 cao
Answer: 9/8
Question 18
M1 Divide 95 by 12 to find 7 remainder 11 or equivalent
A1 8 bundles cao
Answer: 8 bundles
Question 19
M1 Use area = length x width or write length = area / width
M1 Compute 96 / 8 = 12 seen
A1 12 cm cao
Answer: 12 cm
Question 20
M1 Find rate 16/200 = 0.08 litres per km or equivalent
M1 Multiply 0.08 x 350 (= 28) or set up ratio 16:200 = x:350